Abstract
A list of exactly solvable many-body models of quantum optics is presented. The problem of the cascade radiation spectrum of an arbitrary multilevel system, the solution to which contains tasks considered earlier as special cases, is highlighted. Examples of spectra for a three-level system, a harmonic oscillator, the Dicke model, and an equidistant system with a constant rate of spontaneous transition are given.
Highlights
The simplest model of quantum optics - a two-level atom interacting with a single mode quantum electromagnetic field (Janes-Cummings model [1]) allows one to find exact states of the system and to describe its dynamics
Examples of a multimode field are a field propagating in a long waveguide, a field in an open 3D space, etc
Solution of the Schrödinger equation for a multi-atom - multiphoton system is not possible in general. This is possible for some particular models of quantum optics which we describe below
Summary
The simplest model of quantum optics - a two-level atom interacting with a single mode quantum electromagnetic field (Janes-Cummings model [1]) allows one to find exact states of the system and to describe its dynamics. Solution of the Schrödinger equation for a multi-atom - multiphoton system is not possible in general. This is possible for some particular models of quantum optics which we describe below.
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